We examine minimality in asymmetry classes of convex compact sets with respect to inclusion. We prove that each class has a minimal element. Moreover, we show there is a connection between asymmetry classes and the Rådström-Hörmander lattice. This is used to present an alternative solution to the problem of minimality posed by G. Ewald and G. C. Shephard in [4]
AbstractIn this paper we prove two versions of Ekeland Variational Principle in asymmetric locally c...
Abstract In 1960, Dvoretzky proved that in any infinite dimensional Banach space X and for any ϵ>0 $...
Wydział Matematyki i InformatykiGłównym celem rozprawy jest zbadanie półgrupy wielościanów o ustalon...
In this note, we study the geometric structure of compact convex sets in 2-dimensional asymmetric no...
AbstractA systematic study of precompact and compact subsets on asymmetric normed linear spaces is d...
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets...
We consider the problem of minimizing convex combinations of the first two eigenvalues of the Dirich...
We consider the problem of minimizing convex combinations of the first two eigenvalues of the Dirich...
In [7] the notion of minimal pairs of convex compact subsets of a Hausdorff topological vector space...
Pairs of compact convex sets naturally arise in quasidierential calculus as a sub- and superdierenti...
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the rela...
[EN] The Krein-Milman theorem states that every compact convex subset in a locally compact convex sp...
AbstractThe aim of the present paper is to study precompactness and compactness within the framework...
The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some ...
AbstractWe describe the compact sets of any asymmetric normed linear space. After that, we focus our...
AbstractIn this paper we prove two versions of Ekeland Variational Principle in asymmetric locally c...
Abstract In 1960, Dvoretzky proved that in any infinite dimensional Banach space X and for any ϵ>0 $...
Wydział Matematyki i InformatykiGłównym celem rozprawy jest zbadanie półgrupy wielościanów o ustalon...
In this note, we study the geometric structure of compact convex sets in 2-dimensional asymmetric no...
AbstractA systematic study of precompact and compact subsets on asymmetric normed linear spaces is d...
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets...
We consider the problem of minimizing convex combinations of the first two eigenvalues of the Dirich...
We consider the problem of minimizing convex combinations of the first two eigenvalues of the Dirich...
In [7] the notion of minimal pairs of convex compact subsets of a Hausdorff topological vector space...
Pairs of compact convex sets naturally arise in quasidierential calculus as a sub- and superdierenti...
We characterize the finite dimensional asymmetric normed spaces which are right bounded and the rela...
[EN] The Krein-Milman theorem states that every compact convex subset in a locally compact convex sp...
AbstractThe aim of the present paper is to study precompactness and compactness within the framework...
The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some ...
AbstractWe describe the compact sets of any asymmetric normed linear space. After that, we focus our...
AbstractIn this paper we prove two versions of Ekeland Variational Principle in asymmetric locally c...
Abstract In 1960, Dvoretzky proved that in any infinite dimensional Banach space X and for any ϵ>0 $...
Wydział Matematyki i InformatykiGłównym celem rozprawy jest zbadanie półgrupy wielościanów o ustalon...